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Finding the Fourth Proportional to 31,266.53, 46,901.09 and 9,079.91

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Solution

The fourth proportional to 31,266.53, 46,901.09 and 9,079.91 is: 13,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,266.53 : 46,901.09 = 9,079.91 : x
  2. Step 2: Convert to fraction form
    31,266.53/46,901.09 = 9,079.91/x
  3. Step 3: Cross multiply
    31,266.53x = 46,901.09 × 9,079.91
  4. Step 4: Simplify right side
    31,266.53x = 425,857,430.25
  5. Step 5: Solve for x
    x = 425,857,430.25/31,266.53
  6. Step 6: Final answer
    x = 13,620.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.